Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:q-alg/9605024 · Nuclear Physics B

Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(sl2)

Giovanni Felder, Alexander N. Varchenko

Published Nov 1, 1996• 108 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(96)00461-0

Related papers

Representation of the boundary elliptic quantum group BEτ,η(sl2) and the Bethe ansatz

Heng Fan, Bo-Yu Hou, Kang-he Shi

Nuclear Physics B•Jul 1, 1997•10 citations

Algebraic Bethe ansatz for the elliptic quantum group E,(sl) and its applications

B.Y. Hou, Ryu Sasaki B, Wen‐Li Yang

arXiv:hep-th/0303077•Nuclear Physics B•Jun 2, 2003•19 citations

Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups

M. Karowski

Springer eBooks•Apr 7, 2008•10 citations

Construction of the Bethe State for the E τ,η (so 3 ) Elliptic Quantum Group

N. Manojlović

Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics.In this paper, we consider the particular case of the E τ,η (so 3 ) elliptic quantum group.In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of E τ,η (so 3 ).

arXiv:math/0612086•Symmetry Integrability and Geometry Methods and Applications•Jan 5, 2007•2 citations

Elliptic Quantum Groups and Ruijsenaars Models

Giovanni Felder, Alexander Varchenko

arXiv:q-alg/9704005•Journal of Statistical Physics•Dec 1, 1997•47 citations

Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(A2(2))

N. Manojlović, Zoltán Nagy

We implement the Bethe ansatz method for the elliptic quantum group Eτ,η(A2(2)). The Bethe creation operators are constructed as polynomials of the Lax matrix elements expressed through a recurrence relation. We also give the eigenvalues of the family of commuting transfer matrices defined in the tensor product of fundamental representations.

arXiv:0704.3032•Journal of Mathematical Physics•Dec 1, 2007•2 citations